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BITSAT 2011
Exam
BITSAT
Year
2011
Subject
Mathematics
Chapter
Differential Equations

BITSAT 2011 · Mathematics · Differential Equations

The degree of the differential equation ( ((d^3 y)/(d x^3))^ 2 / 3...

The degree of the differential equation ((d3ydx3)2/3+\left(\frac{d^3 y}{d x^3}\right)^{2 / 3}+4-3 d2ydx2+\frac{d^2 y}{d x^2}+5 dydx=\frac{d y}{d x}=0) is

Options

  1. A1
  2. B2
  3. C3
  4. DNone of these

Correct answer

B. 2

Step-by-step solution

$\begin{aligned}& \left(\frac{d^3 y}{d x³}\right)^{2 / 3}+4-3 \frac{d^2 y}{d x²}+5 \frac{d y}{d x}=0 \\ & \Rightarrow\left(\frac{d^3 y}{d x³}\right)^2=\left[3 \frac{d^2 y}{d x²}-5 \frac{d y}{d x}-4\right]^3 \end{aligned}$) It is a differential equation of degree 2.
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